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Finding the Third Proportional to 99,642 and 216,779.25

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Solution

The third proportional to 99,642 and 216,779.25 is: 471,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,642 : 216,779.25 = 216,779.25 : x
  2. Step 2: Convert to fraction form
    99,642/216,779.25 = 216,779.25/x
  3. Step 3: Cross multiply
    99,642x = 216,779.25 × 216,779.25
  4. Step 4: Simplify right side
    99,642x = 46,993,243,230.56
  5. Step 5: Solve for x
    x = 46,993,243,230.56/99,642
  6. Step 6: Final answer
    x = 471,620.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.